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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.28 No.4

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Utilizing Generalized Meir-Keeler Contraction in Periodic Boundary Value Problems

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2021, v.28 no.4, pp.297-314
https://doi.org/https://doi.org/10.7468/jksmeb.2021.28.4.297
Handa, Amrish
Handa,, A. (2021). Utilizing Generalized Meir-Keeler Contraction in Periodic Boundary Value Problems. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 28(4), 297-314, https://doi.org/https://doi.org/10.7468/jksmeb.2021.28.4.297

Abstract

This manuscript is divided into three segments. In the first segment, we formulate a unique common fixed point theorem satisfying generalized Meir-Keeler contraction on partially ordered metric spaces and also give an example to demonstrate the usability of our result. In the second segment of the article, some common coupled fixed point results are derived from our main results. In the last segment, we investigate the solution of some periodic boundary value problems. Our results generalize, extend and improve several well-known results of the existing literature.

keywords
fixed point, coincidence point, generalized Meir-Keeler contraction, partially ordered metric space, compatibility, differential equation

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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